157.84 is what percent of 989 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 989 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 989, so we can write it down as 100%=989.
4. We know, that x% equals 157.84 of the output value, so we can write it down as x%=157.84.
5. Now we have two simple equations:
1) 100%=989
2) x%=157.84
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=989/157.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.84 is what percent of 989

100%/x%=989/157.84
(100/x)*x=(989/157.84)*x       - we multiply both sides of the equation by x
100=6.2658388241257*x       - we divide both sides of the equation by (6.2658388241257) to get x
100/6.2658388241257=x
15.959555106168=x
x=15.959555106168

now we have:
157.84 is 15.959555106168% of 989